The (P-A-L) Modified Weibull Distribution
Mahmoud R. Mahmoud *
Department of Mathematical Statistics, I.S.S.R., Cairo University, Egypt.
Rasha M. Mandouh
Department of Mathematical Statistics, I.S.S.R., Cairo University, Egypt.
Marwa M. Hamada
Department of Statistics, I.S.S.R., Cairo University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
This paper presented The (P-A-L) Modified Weibull Distribution. We can compute several properties of this distribution. The maximum likelihood estimators are obtained. Using simulation study, mean, relative bias, root and scaled mean square error for maximum likelihood estimators are obtained. And also, Confidence intervals for unknown two parameters are calculated.
Keywords: Hazard function, maximum likelihood estimation, modified weibull distribution, moment, the (P-A-L) family, variance-covariance matrix.